{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ***Introduction to Radar Using Python and MATLAB***\n",
    "## Andy Harrison - Copyright (C) 2019 Artech House\n",
    "<br/>\n",
    "\n",
    "# Loop Antennas\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Similar to the linear wire antenna, the loop antenna is also easy to fabricate, easy to analyze, and inexpensive to build.  Loops are generally classified as either electrically small, where the circumference is less than a tenth of a wavelength, or electrically large, where the circumference is about a wavelength.  Small loops are not effective radiators and are usually used as probes or other receiving type elements, whereas the large circular loops are typically used in array configurations. \n",
    "\n",
    "### Small Circular Loop\n",
    "Referring to Section 3.2.2.1, assume a small circular loop in the $x$-$y$ plane, as shown in Figure 3.8.  The wire is very thin such that the current distribution is $I_{\\phi} = I_0$.  The electric and magnetic fields are written as (Equations 3.42 - 3.43)\n",
    "\n",
    "\\begin{align}\n",
    "    E_{\\phi} &= \\eta \\sin\\theta\\, I_0 \\, (ka)^2 \\, \\frac{e^{-jkr}}{4r} \\hspace{0.5in} \\text{(V/m)}\\label{eq:small_loop_E}\\\\ \\nonumber \\\\\n",
    "    H_{\\theta} &= -\\sin\\theta\\, I_0 \\, (ka)^2 \\, \\frac{e^{-jkr}}{4r}\\label{eq:small_loop_H} \\hspace{0.5in} \\text{(A/m)}\n",
    "\\end{align}\n",
    "\n",
    "### Constant Current Loop\n",
    "Referring to Section 3.2.2.2, consider a circular loop antenna with a radius that is not considered small but does have a constant current distribution.  Following the same procedure as for the small circular loop antenna allows the fields for a constant current loop antenna to be written as\n",
    "\n",
    "\\begin{align}\n",
    "    E_{\\phi} &= a\\, k\\, \\eta\\, I_0\\, \\frac{e^{-jkr}}{2r}\\, J_1(k a \\sin\\theta) \\hspace{0.5in} \\text{(V/m)} \\label{eq:efield_constant_current_loop} \\\\ \\nonumber \\\\\n",
    "    H_{\\theta} &= -a\\, k\\, I_0\\, \\frac{e^{-jkr}}{2r}\\, J_1(k a \\sin\\theta) \\hspace{0.5in} \\text{(A/m)}\n",
    "\\end{align}\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Begin by getting the library path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import lib_path"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the frequency (Hz), the radius (m) and the current (A) for the loop antenna"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "frequency = 1e9\n",
    "\n",
    "radius = 0.1\n",
    "\n",
    "current = 1.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the angular span using the `linspace` routine from `scipy`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import linspace\n",
    "\n",
    "from scipy.constants import pi\n",
    "\n",
    "theta = linspace(0.0, 2.0 * pi, 1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the antenna parameters and antenna pattern using the `small_loop` and `circular_loop` routines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from Libs.antenna.loop import small_loop, circular_loop\n",
    "\n",
    "\n",
    "antenna_type = 'small_loop'\n",
    "\n",
    "\n",
    "if antenna_type == 'circular_loop':\n",
    "\n",
    "    total_power_radiated = small_loop.radiated_power(frequency, radius, current)\n",
    "\n",
    "    radiation_resistance = small_loop.radiation_resistance(frequency, radius)\n",
    "\n",
    "    beamwidth = small_loop.beamwidth()\n",
    "\n",
    "    directivity = small_loop.directivity()\n",
    "\n",
    "    maximum_effective_aperture = small_loop.maximum_effective_aperture(frequency)\n",
    "\n",
    "    _, _, ep, _, _, _ = small_loop.far_field(frequency, radius, current, 1e9, theta)\n",
    "    \n",
    "\n",
    "else:\n",
    "\n",
    "    total_power_radiated = circular_loop.radiated_power(frequency, radius, current)\n",
    "\n",
    "    radiation_resistance = circular_loop.radiation_resistance(frequency, radius)\n",
    "\n",
    "    beamwidth = circular_loop.beamwidth(frequency, radius)\n",
    "\n",
    "    directivity = circular_loop.directivity(frequency, radius)\n",
    "\n",
    "    maximum_effective_aperture = circular_loop.maximum_effective_aperture(frequency, radius)\n",
    "\n",
    "    _, _, ep, _, _, _ = circular_loop.far_field(frequency, radius, current, 1e9, theta)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Display the antenna parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total Radiated Power (W)     620.55\n",
      "Radiation Resistance (Ohms)  1241.11\n",
      "Beamwidth (deg)              128.15\n",
      "Directivity                  1.41\n",
      "Max Effective Aperture       5.04e-03\n"
     ]
    }
   ],
   "source": [
    "print('Total Radiated Power (W)     {:.2f}'.format(total_power_radiated))\n",
    "\n",
    "print('Radiation Resistance (Ohms)  {:.2f}'.format(radiation_resistance))\n",
    "\n",
    "print('Beamwidth (deg)              {:.2f}'.format(beamwidth))\n",
    "\n",
    "print('Directivity                  {:.2f}'.format(directivity))\n",
    "\n",
    "print('Max Effective Aperture       {:.2e}'.format(maximum_effective_aperture))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Display the antenna pattern using the `matplotlib` routines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "\n",
    "\n",
    "# Set the figure size\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (15, 10)\n",
    "\n",
    "\n",
    "# Display the results\n",
    "\n",
    "plt.polar(theta, abs(ep), '')\n",
    "\n",
    "\n",
    "\n",
    "# Set the plot title and labels\n",
    "\n",
    "plt.title('Loop Antenna Pattern', size=14)\n",
    "\n",
    "\n",
    "\n",
    "# Set the tick label size\n",
    "    \n",
    "plt.tick_params(labelsize=12)\n",
    "\n",
    "\n",
    "\n",
    "# Turn on the grid\n",
    "\n",
    "plt.grid(linestyle=':', linewidth=0.5)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
